The number 57427
57427 is the 5823rd prime number. Its only divisors are 1 and 57427.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
What is special about 57427: the 5823rd prime number.
- 2
57427 is prime, so its only factors are 1 and 57427. It is the 5823rd prime; the next prime is 57457 and the one before is 57413.
- 3
The divisors add up to 57428; without 57427 itself that is 1, so 57427 is deficient (1 is less than 57427). Euler's totient φ(57427) = 57426 numbers up to 57427 share no factor with it.
- 4
The digits of 57427 add up to 25, and repeating that until one digit is left gives the digital root 7. The Collatz sequence (halve if even, else 3n+1) takes 104 steps to reach 1.
57427 at a glance
| Property | Value |
|---|---|
| Type | prime |
| Number of divisors | 2 |
| Sum of divisors | 57428 |
| Euler totient φ(n) | 57426 |
| Square | 3297860329 |
| Cube | 189386225113483 |
| Square root | 239.639312 |
| Digit sum / digital root | 25 / 7 |
| Collatz steps to 1 | 104 |
| Scientific notation | 5.7427 × |
57427 in other forms
| Form | Value |
|---|---|
| In words | fifty-seven thousand four hundred and twenty-seven |
| Binary (base 2) | 1110000001010011 |
| Octal (base 8) | 160123 |
| Hexadecimal (base 16) | E053 |
| Base 3 | 2220202221 |
| As time | 57427 seconds = 15 h 57 min 7 s |
Is 57427 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | No (remainder 1) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | No (remainder 1) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | No (remainder 3) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 2) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | No (remainder 1) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 6) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 3) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 7) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 7) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 7) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | No (remainder 7) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 57427 a prime number?
Yes. 57427 is divisible only by 1 and itself.
What are the factors of 57427?
1, 57427.
What is 57427 in binary?
1110000001010011 (hexadecimal E053, octal 160123).
What is the square root of 57427?
About 239.6393.
Is 57427 divisible by 3?
No. Its digits add up to 25, which is not a multiple of 3.
What is special about the number 57427?
57427 is the 5823rd prime number.